527523840 has 336 divisors, whose sum is σ = 1932145488. Its totient is φ = 138018816.

The previous prime is 527523827. The next prime is 527523851. The reversal of 527523840 is 48325725.

527523840 is a `hidden beast` number, since 5 + 275 + 2 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 527523795 and 527523804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953254 + ... + 9953306.

It is an arithmetic number, because the mean of its divisors is an integer number (5750433).

Almost surely, 2^527523840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966072744).

527523840 is an abundant number, since it is smaller than the sum of its proper divisors (1404621648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

527523840 is an frugal number, since it uses more digits than its factorization.

527523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 527523840 is about 22967.8871470582. The cubic root of 527523840 is about 808.0049668028.

The spelling of 527523840 in words is "five hundred twenty-seven million, five hundred twenty-three thousand, eight hundred forty".